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Finding the Fourth Proportional to 24,334.74, 33,578.90 and 14,260.88

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Solution

The fourth proportional to 24,334.74, 33,578.90 and 14,260.88 is: 19,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.74 : 33,578.90 = 14,260.88 : x
  2. Step 2: Convert to fraction form
    24,334.74/33,578.90 = 14,260.88/x
  3. Step 3: Cross multiply
    24,334.74x = 33,578.90 × 14,260.88
  4. Step 4: Simplify right side
    24,334.74x = 478,864,508.18
  5. Step 5: Solve for x
    x = 478,864,508.18/24,334.74
  6. Step 6: Final answer
    x = 19,678.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.